A087743 Numbers n >= 3 with property that the remainder when n is divided by k (for 3 <= k <= n-2) is not 1.

3, 4, 5, 6, 8, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 54, 60, 62, 68, 72, 74, 80, 84, 90, 98, 102, 104, 108, 110, 114, 128, 132, 138, 140, 150, 152, 158, 164, 168, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240, 242, 252, 258, 264, 270

Offset

1,1

Comments

More generally, let prime_Y consist of the numbers n >= 2+Y which never yield a remainder of Y when divided by any number from 2+Y to n-Y-1. Prime_0 are the usual primes, A000040. This sequence gives prime_2.

Links

Table of n, a(n) for n=1..58.

Formula

P[n, Y] = P[n-1, Y] for most terms where P is a Boolean array of numbers n and Y their order of primeness: if P[n, Y] then n is a prime of order Y

Mathematica

Select[Range[3, 500], Count[Table[Mod[#, k], {k, 3, #-2}], 1]==0&] (* Harvey P. Dale, Dec 17 2011 *)

Crossrefs

Sequence in context: A130788 A376601 A288819 * A073568 A094576 A103103

Adjacent sequences: A087740 A087741 A087742 * A087744 A087745 A087746

Keyword

nonn

Author

Chas A Guderjahn (chasag(AT)aol.com), Oct 01 2003

Extensions

More terms from Harvey P. Dale, Dec 17 2011

Status

approved